The Hartley Transform
John Ogilvie, CECM.
Abstract: The Hartley tranform is an integral transform closely related to the Fourier transform. It transforms a real function to another real function, so involving no imaginary component of complex numbers. This transform is also its own inverse. It exists in both continuous and discrete forms, of which the latter is particularly suited to numerical computation and implementation. Applications in electronic engineering between the frequency and temporal domains, and in optics are especially important. Some examples and a comparison of these transforms will be presented, including some cases with which Maple does not at present cope.